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Finding the Fourth Proportional to 17,603.78, 24,292.82 and 9,645.83

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Solution

The fourth proportional to 17,603.78, 24,292.82 and 9,645.83 is: 13,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.78 : 24,292.82 = 9,645.83 : x
  2. Step 2: Convert to fraction form
    17,603.78/24,292.82 = 9,645.83/x
  3. Step 3: Cross multiply
    17,603.78x = 24,292.82 × 9,645.83
  4. Step 4: Simplify right side
    17,603.78x = 234,324,242.25
  5. Step 5: Solve for x
    x = 234,324,242.25/17,603.78
  6. Step 6: Final answer
    x = 13,311.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.